If Rs. x are divided between A and B in the ratio a b : c d , then A gets rupees -

Answer: Option B

$$\begin{array}{rl}& \text{A}:\text{B}=\frac{a}{b}:\frac{c}{d}\\ & =\left(\frac{a}{b}\times bd\right):\left(\frac{c}{d}\times bd\right)\\ & =ad:bc\\ & \therefore \text{A’s share}\\ & =Rs.\left(\frac{adx}{ad+bc}\right)\end{array}$$